Method and device for determining high temperature duration of nuclear power plant, storage medium and electronic equipment
By constructing a method for determining the duration of high temperatures in nuclear power plants, the problem of excessively large design capacity of air conditioning systems in nuclear power plants was solved. This achieved cost savings and margin analysis without compromising nuclear safety, and adapted to the design benchmark value being exceeded by high temperatures caused by climate change.
Patent Information
- Application Number
- CN202411491267.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-10-23
- Publication Date
- 2025-11-18
- Estimated Expiration
- 2044-10-23
AI Technical Summary
The lack of existing technology for calculating the duration of high temperatures in nuclear power plants has led to excessively large design capacities for the ventilation and air conditioning systems of nuclear islands, and an inability to effectively cope with high temperatures exceeding design benchmarks caused by climate change.
The method for determining the duration of high temperatures in nuclear power plants is constructed by including determining the daily temperature change curve, analyzing the envelope area of heat input and calculating the duration of high temperatures, using sine curve equivalence and tangent plotting techniques, and combining mathematical expressions to calculate the duration of high temperatures.
Without compromising nuclear safety, the design capacity of the ventilation and air conditioning system in the nuclear island of nuclear power plants can be reduced to save costs and provide margin analysis to adapt to high temperatures exceeding design baselines caused by climate change.
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Figure CN119578001B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the technical field of nuclear power plant disaster protection, and more specifically, to a method, apparatus, storage medium, and electronic device for determining the duration of high temperatures in nuclear power plants. Background Technology
[0002] To avoid the impact of high summer temperatures on the operation of nuclear power plant equipment related to nuclear safety, such as excessively high ambient temperatures causing the temperature inside the nuclear island building to exceed the equipment's tolerance, leading to damage to important equipment and potentially causing a nuclear safety incident, and also to maintain a comfortable working environment for staff, the design of the nuclear island ventilation and air conditioning system takes into account a safe design temperature. As long as the ambient temperature of the nuclear power plant does not exceed this safe temperature, the internal equipment and personnel environment will not be challenged.
[0003] Currently, the design of ventilation and air conditioning systems in nuclear power plants primarily uses the highest safe design dry-bulb temperature as the design reference temperature. This temperature is determined by taking the hourly dry-bulb temperature over the four hottest months of the year, without guaranteeing a 2-hour interval, and using meteorological station data spanning over 30 years. Furthermore, the selection of temperatures for nuclear power plants requires the use of extreme temperatures, which characterize the extreme values of meteorological environmental parameters, and long-term data must cover at least 30 years or more.
[0004] As mentioned above, existing methods only provide a way to determine the design reference temperature value, but do not specify a method for calculating the duration of the temperature. In the design of nuclear power plants, for conservative reasons, the high temperature over 2 hours is not guaranteed and is considered to have a long duration, while extreme temperatures are also considered to have a relatively long duration. Since the actual extreme temperatures and the unguaranteed 2-hour temperature duration are relatively short, considering long-term operation is too conservative, resulting in a large design capacity for the ventilation and air conditioning system. Summary of the Invention
[0005] The technical problem to be solved by the present invention is to provide a method, apparatus, storage medium and electronic device for determining the duration of high temperature in nuclear power plants, in view of the problems existing in the prior art.
[0006] The technical solution adopted by this invention to solve its technical problem is: to construct a method for determining the duration of high temperatures in nuclear power plants, comprising the following steps:
[0007] Determine the daily temperature variation curve;
[0008] The daily temperature change curve is analyzed to determine the envelope area of heat input;
[0009] The duration of high temperature is calculated based on the envelope area of the heat input.
[0010] In the method for determining the duration of high temperatures in nuclear power plants according to the present invention, the step of determining the daily temperature variation curve includes:
[0011] Obtain daily historical temperature data;
[0012] The daily historical temperature data are analyzed and processed to obtain a sine curve;
[0013] The sine curve is equivalent to the daily temperature change curve.
[0014] In the method for determining the duration of high temperatures in nuclear power plants according to the present invention, the step of analyzing the daily temperature change curve to determine the envelope area of heat input includes:
[0015] Based on the sine curve, obtain the sine function;
[0016] Determine the point of tangency of the sine function;
[0017] The envelope region of heat input is determined based on the tangent point;
[0018] The area of the envelope region is calculated to obtain the envelope area of the heat input.
[0019] In the method for determining the duration of high temperatures in nuclear power plants according to the present invention, the step of determining the envelope region of heat input based on the tangent point includes:
[0020] Draw the tangent line based on the tangent point;
[0021] The region is divided according to the tangent to obtain multiple line segments from the envelope origin to a set point;
[0022] The heat input envelope region is obtained by forming a closed region based on the multiple line segments; the closed region is the heat input envelope region.
[0023] In the method for determining the duration of high temperatures in nuclear power plants according to the present invention, the step of calculating the area of the envelope region to obtain the envelope area of the heat input includes:
[0024] The corresponding area expression is determined based on the envelope region;
[0025] The extreme values of the function corresponding to the envelope region are determined by performing a derivative operation based on the area expression.
[0026] The minimum area of the envelope region is obtained by calculating based on the extreme value of the corresponding function.
[0027] The minimum area of the envelope region is the envelope area.
[0028] In the method for determining the duration of high temperatures in nuclear power plants according to the present invention, the step of calculating the duration of high temperatures based on the envelope area of the heat input includes:
[0029] The mathematical expression for the tangent is determined based on the minimum area of the envelope region;
[0030] The duration of the high temperature is obtained by calculating based on the mathematical expression of the tangent.
[0031] In the method for determining the duration of high temperatures in nuclear power plants according to the present invention, the step of calculating the duration of high temperatures based on the mathematical expression of the tangent line includes:
[0032] The length of the shortest line segment in the envelope region is obtained by calculating based on the mathematical expression of the tangent.
[0033] Based on the correspondence between the sine curve and the daily duration, the duration corresponding to the shortest line segment is obtained by conversion.
[0034] The product of the length of the shortest line segment and the duration is used to obtain the time corresponding to the length of the shortest line segment;
[0035] The duration of the high temperature is obtained by performing symmetry calculations based on the symmetry characteristics of the sine curve and the time corresponding to the length of the shortest line segment.
[0036] The present invention also provides a device for measuring the duration of high temperatures in a nuclear power plant, comprising:
[0037] Temperature curve determination unit, used to determine the daily temperature change curve;
[0038] The curve analysis unit is used to analyze the daily temperature change curve and determine the envelope area of the heat input;
[0039] The time calculation unit is used to calculate the duration of high temperature based on the envelope area of the heat input.
[0040] The present invention also provides a storage medium storing a computer program adapted for loading by a processor to execute the steps of the method for determining the duration of high temperatures in a nuclear power plant as described above.
[0041] The present invention also provides an electronic device, including a memory and a processor, wherein the memory stores a computer program, and the processor executes the steps of the method for determining the duration of high temperature in a nuclear power plant as described above by calling the computer program stored in the memory.
[0042] The method, apparatus, storage medium, and electronic equipment for determining the duration of high temperatures in nuclear power plants according to the present invention have the following beneficial effects: The method includes the following steps: determining a daily temperature variation curve; analyzing the daily temperature variation curve to determine the envelope area of heat input; and calculating the duration of high temperatures based on the envelope area of heat input. This invention allows for reducing the design capacity of the nuclear island ventilation and air conditioning system in nuclear power plants without compromising nuclear safety, thus saving costs. It also provides a margin for high temperatures in the current nuclear island ventilation and air conditioning system of the nuclear power plant, offering a reference for margin analysis. Furthermore, it can be used to review the impact of climate change on the nuclear island ventilation and air conditioning system of operating nuclear power plants. Attached Figure Description
[0043] The present invention will be further described below with reference to the accompanying drawings and embodiments. In the accompanying drawings:
[0044] Figure 1 This is a flowchart illustrating the method for determining the duration of high temperatures in nuclear power plants provided by the present invention.
[0045] Figure 2 This is a schematic diagram of the equivalent daily temperature change curve provided by the present invention;
[0046] Figure 3 This is a logic block diagram of the device for determining the duration of high temperatures in nuclear power plants provided by the present invention. Detailed Implementation
[0047] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0048] To address the issue of the lack of duration for high temperatures in nuclear power plant design, this invention provides a method for determining the duration of high temperatures in nuclear power plants. This method can reduce the design capacity of the nuclear island ventilation and air conditioning system without compromising nuclear safety, thus saving costs. It can also obtain the current margin of the nuclear island ventilation and air conditioning system to cope with high temperatures, which can be used for margin analysis. For operating nuclear power plants, climate change may cause a rise in high temperatures at the site, potentially exceeding design baseline values. This method can be used to verify the impact of climate change on the nuclear island ventilation and air conditioning system of the nuclear power plant.
[0049] refer to Figure 1 , Figure 1 This is a flowchart illustrating a preferred embodiment of the method for determining the duration of high temperatures in nuclear power plants provided by the present invention.
[0050] Specifically, such as Figure 1 As shown, the method for determining the duration of high temperatures at this nuclear power plant includes the following steps:
[0051] Step S101: Determine the daily temperature variation curve.
[0052] In this embodiment of the invention, determining the daily temperature change curve includes: acquiring daily historical temperature data; analyzing and processing the daily historical temperature data to obtain a sine curve; and converting the sine curve into an equivalent daily temperature change curve.
[0053] Specifically, regarding daily temperature changes, the surface temperature typically rises gradually after sunrise and falls gradually after sunset, making it a continuous process. By analyzing historical daily temperature data, it can be determined that the daily temperature change curve approximates a sine curve; therefore, a sine curve can be considered equivalent to a daily temperature change curve.
[0054] Step S102: Analyze the daily temperature change curve to determine the envelope area of heat input.
[0055] In this embodiment of the invention, analyzing the daily temperature change curve to determine the envelope area of heat input includes: obtaining a sine function based on a sine curve; determining the tangent point of the sine function; determining the envelope region of heat input based on the tangent point; and calculating the area of the envelope region to obtain the envelope area of heat input.
[0056] The process of determining the envelope region of heat input based on the tangent point includes: drawing a tangent line based on the tangent point; dividing the region according to the tangent line to obtain multiple line segments from the envelope origin to the set point; forming a closed region based on the multiple line segments to obtain the envelope region of heat input; and the closed region is the envelope region of heat input.
[0057] In this embodiment of the invention, calculating the area of the envelope region to obtain the envelope area of the heat input includes: determining the corresponding area expression based on the envelope region; performing a derivative operation based on the area expression to determine the extremum of the function corresponding to the envelope region; calculating based on the extremum of the corresponding function to obtain the minimum area of the envelope region; the minimum area of the envelope region is the envelope area.
[0058] Step S103: Calculate the duration of high temperature based on the envelope area of heat input.
[0059] It should be noted that the high temperatures referred to in this invention mainly refer to the extreme temperatures and design reference temperatures of nuclear power plants. The extreme temperature refers to the highest point in the daily temperature variation, i.e., the highest temperature selected from the highest to lowest values over a 30-year period. The design reference temperature is obtained by statistically analyzing the hourly temperatures of the four hottest months of each year over a period of at least 30 years, removing the two highest data points (each representing one hour of data), and obtaining the third highest point as the design reference temperature for the nuclear power plant.
[0060] In this embodiment of the invention, the calculation of the duration of high temperature based on the envelope area of heat input includes: determining the mathematical expression of the tangent based on the minimum area of the envelope region; and calculating the duration of high temperature based on the mathematical expression of the tangent.
[0061] The calculation of the duration of high temperature based on the mathematical expression of the tangent line includes: calculating the length of the shortest segment of the envelope region based on the mathematical expression of the tangent line; converting the length of the shortest segment based on the correspondence between the sine curve and the daily duration; multiplying the length of the shortest segment and the duration to obtain the time corresponding to the length of the shortest segment; and performing symmetry calculations based on the symmetry characteristics of the sine curve and the time corresponding to the length of the shortest segment to obtain the duration of high temperature.
[0062] Specifically, let's assume the daily temperature change curve is a sine curve, such as... Figure 2 As shown. First, an analysis is conducted using a sine curve y = sin(x) passing through the origin. After the analysis, the horizontal axis is converted to time, and the vertical axis to temperature, thus reconstructing the change in air temperature. The integral of air temperature over time can be considered as heat input. Therefore, the heat input from the origin O to point A (π / 2, 0) is represented by the area enclosed by curve OB, line segments BA, and line segments AO. To ensure that the actual heat input is encompassed, the analysis is conducted by drawing tangents. The area of the trapezoid enclosed by line segments FE, EB, BA, and AF can encompass the area enclosed by the sine curve from the origin to π / 2. The length of line segment EB can then be considered the duration of the high temperature.
[0063] Specifically, such as Figure 2 As shown, let the point of tangency of the sine function be M(x0, sin(x0)), where x0 ∈ [0, π / 2]. Here, the point of tangency M is any point from the origin 0 to π / 2. Then the slope of the tangent line is cos(x0). The area of the trapezoid enclosed by line segments FE, EB, BA, and AF is the minimum area of the envelope region. The expression for the area of the trapezoid enclosed by line segments FE, EB, BA, and AF is:
[0064] S=(1 / 2)*1*[π / 2-x0+tan(x0)+π / 2-x0+tan(x0)-1 / cos(x0)], x0∈[0,π / 2];
[0065] By taking the derivative of S with respect to x0 and setting the derivative to 0, we can find the extreme values (i.e., maximum or minimum values) of the function. Then, by combining the second derivative or substituting the numerical values into the calculation, we can determine the minimum value of the function in x0∈[0,π / 2].
[0066] Calculations show that the area S enclosed by the trapezoid reaches its minimum value when x0 = 0. The mathematical expression for the corresponding tangent line at this point is:
[0067] y=cos(0)*(x-0)+sin(0), that is, y=x.
[0068] Let y = 1, then x = 1. The coordinates of point E are (1, 1), and the length of line segment BE is π / 2 - 1, approximately 0.571. Therefore, (line segment EB) / (line segment OA) = 0.571 / (π / 2), approximately 0.364.
[0069] Since a day is 24 hours long, and line segment OA is 1 / 4 the length of a sine wave, which corresponds to 6 hours of daily time, the length of line segment EB corresponds to the time: 6 hours * 0.364 = 2.184 hours. Because the rising and falling segments of the sine curve are symmetrical, the duration of the high temperature is 2 * 2.184 = 4.368 hours.
[0070] refer to Figure 3 , Figure 3 This invention provides a device for determining the duration of high temperatures in nuclear power plants.
[0071] like Figure 3 As shown, the device for measuring the duration of high temperatures at the nuclear power plant includes:
[0072] Temperature curve determination unit 301 is used to determine the daily temperature change curve.
[0073] The curve analysis unit 302 is used to analyze the daily temperature change curve and determine the envelope area of heat input.
[0074] The time calculation unit 303 is used to calculate the duration of high temperature based on the envelope area of the heat input.
[0075] Specifically, the specific coordination and operation process between the various units in the device for determining the duration of high temperature in nuclear power plants can be referred to the above-mentioned method for determining the duration of high temperature in nuclear power plants, and will not be repeated here.
[0076] By applying this method, the following objectives can be achieved:
[0077] Without compromising nuclear safety, the design capacity of the ventilation and air conditioning system in the nuclear island of a nuclear power plant can be reduced, thus saving costs.
[0078] It can obtain the current margin of the nuclear island ventilation and air conditioning system of the nuclear power plant to cope with high temperatures, and be used for margin analysis;
[0079] For operating nuclear power plants, climate change may cause a rise in high temperatures at the plant site, potentially exceeding design baseline values. This method can be used to review the impact of climate change on the ventilation and air conditioning systems of the nuclear island.
[0080] Furthermore, an electronic device of the present invention includes a memory and a processor; the memory is used to store a computer program; the processor is used to execute the computer program to implement the method for determining the duration of high temperature in a nuclear power plant as described above. Specifically, according to embodiments of the present invention, the processes described above with reference to the flowchart can be implemented as computer software programs. For example, embodiments of the present invention include a computer program product comprising a computer program carried on a computer-readable medium, the computer program containing program code for performing the methods shown in the flowchart. In such embodiments, when the computer program is downloaded, installed, and executed by an electronic device, it performs the functions defined in the methods of the embodiments of the present invention. The electronic device in the present invention can be a terminal such as a laptop, desktop computer, tablet computer, or smartphone, or it can be a server.
[0081] Furthermore, one type of storage medium of the present invention stores a computer program thereon, which, when executed by a processor, implements the method for determining the duration of high temperature in a nuclear power plant as described above. Specifically, it should be noted that the storage medium described above in the present invention can be a computer-readable signal medium or a computer-readable storage medium, or any combination thereof. A computer-readable storage medium can be, for example, but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any combination thereof. More specific examples of a computer-readable storage medium may include, but are not limited to: an electrical connection having one or more wires, a portable computer disk, a hard disk, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM or flash memory), optical fiber, portable compact disk read-only memory (CD-ROM), optical storage device, magnetic storage device, or any suitable combination thereof. In the present invention, a computer-readable storage medium can be any tangible medium containing or storing a program that can be used by or in conjunction with an instruction execution system, apparatus, or device. In the present invention, a computer-readable signal medium can include a data signal propagated in baseband or as part of a carrier wave, carrying computer-readable program code. The transmitted data signal can take various forms, including but not limited to electromagnetic signals, optical signals, or any suitable combination thereof. The computer-readable signal medium can also be any computer-readable medium other than a computer-readable storage medium, which can send, propagate, or transmit a program for use by or in connection with an instruction execution system, apparatus, or device. The program code contained on the computer-readable medium can be transmitted using any suitable medium, including but not limited to: wires, optical fibers, RF (radio frequency), etc., or any suitable combination thereof.
[0082] The aforementioned computer-readable medium may be included in the aforementioned electronic device; or it may exist independently and not assembled into the electronic device.
[0083] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on its differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. For the apparatus disclosed in the embodiments, since it corresponds to the method disclosed in the embodiments, the description is relatively simple; relevant parts can be referred to the method section.
[0084] Those skilled in the art will further recognize that the units and algorithm steps of the various examples described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, computer software, or a combination of both. To clearly illustrate the interchangeability of hardware and software, the components and steps of the various examples have been generally described in terms of functionality in the foregoing description. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementations should not be considered beyond the scope of this invention.
[0085] The steps of the methods or algorithms described in conjunction with the embodiments disclosed herein can be implemented directly by hardware, a software module executed by a processor, or a combination of both. The software module can be located in random access memory (RAM), main memory, read-only memory (ROM), electrically programmable ROM, electrically erasable programmable ROM, registers, hard disk, removable disk, CD-ROM, or any other form of storage medium known in the art.
[0086] The above embodiments are only for illustrating the technical concept and features of the present invention, and are intended to enable those skilled in the art to understand the content of the present invention and implement it accordingly. They do not limit the scope of protection of the present invention. All equivalent changes and modifications made within the scope of the claims of the present invention should fall within the scope of the claims of the present invention.
Claims
1. A method for determining the duration of high temperatures in a nuclear power plant, characterized in that, Includes the following steps: Determine the daily temperature variation curve; The daily temperature change curve is analyzed to determine the envelope area of heat input; The analysis of the daily temperature change curve to determine the envelope area of heat input includes: obtaining a sine function based on the sine curve; determining the tangent point of the sine function; determining the envelope region of heat input based on the tangent point; calculating the area of the envelope region to obtain the envelope area of heat input; determining the envelope region of heat input based on the tangent point includes: drawing a tangent line based on the tangent point; dividing the region according to the tangent line to obtain multiple line segments from the envelope origin to a set point; forming a closed region based on the multiple line segments to obtain the envelope region of heat input; the closed region is the envelope region of heat input. The duration of high temperature is calculated based on the envelope area of the heat input; the calculation of the duration of high temperature based on the envelope area of the heat input includes: determining the mathematical expression of the tangent based on the minimum area of the envelope region; and calculating the duration of high temperature based on the mathematical expression of the tangent. The step of calculating the duration of the high temperature based on the mathematical expression of the tangent line includes: calculating the length of the shortest segment of the envelope region based on the mathematical expression of the tangent line; converting the length of the shortest segment based on the correspondence between the sine curve and the daily duration; multiplying the length of the shortest segment and the duration to obtain the time corresponding to the length of the shortest segment; and performing a symmetry operation based on the symmetry characteristics of the sine curve and the time corresponding to the length of the shortest segment to obtain the duration of the high temperature.
2. The method for determining the duration of high temperatures in a nuclear power plant according to claim 1, characterized in that, The determination of the daily temperature variation curve includes: Obtain daily historical temperature data; The daily historical temperature data are analyzed and processed to obtain a sine curve; The sine curve is equivalent to the daily temperature change curve.
3. The method for determining the duration of high temperatures in a nuclear power plant according to claim 1, characterized in that, The step of calculating the area of the envelope region to obtain the envelope area of the heat input includes: The corresponding area expression is determined based on the envelope region; The extreme values of the function corresponding to the envelope region are determined by performing a derivative operation based on the area expression. The minimum area of the envelope region is obtained by calculating based on the extreme value of the corresponding function. The minimum area of the envelope region is the envelope area.
4. A device for determining the duration of high temperatures in a nuclear power plant, characterized in that, include: Temperature curve determination unit, used to determine the daily temperature change curve; The curve analysis unit is used to analyze the daily temperature change curve and determine the envelope area of the heat input; The analysis of the daily temperature change curve to determine the envelope area of heat input includes: obtaining a sine function based on the sine curve; determining the tangent point of the sine function; determining the envelope region of heat input based on the tangent point; calculating the area of the envelope region to obtain the envelope area of heat input; determining the envelope region of heat input based on the tangent point includes: drawing a tangent line based on the tangent point; dividing the region according to the tangent line to obtain multiple line segments from the envelope origin to a set point; forming a closed region based on the multiple line segments to obtain the envelope region of heat input; the closed region is the envelope region of heat input. The time calculation unit is used to calculate the duration of the high temperature based on the envelope area of the heat input; The step of calculating the duration of high temperature based on the envelope area of the heat input includes: determining the mathematical expression of the tangent based on the minimum area of the envelope region; and calculating the duration of the high temperature based on the mathematical expression of the tangent. The step of calculating the duration of the high temperature based on the mathematical expression of the tangent line includes: calculating the length of the shortest segment of the envelope region based on the mathematical expression of the tangent line; converting the length of the shortest segment based on the correspondence between the sine curve and the daily duration; multiplying the length of the shortest segment and the duration to obtain the time corresponding to the length of the shortest segment; and performing a symmetry operation based on the symmetry characteristics of the sine curve and the time corresponding to the length of the shortest segment to obtain the duration of the high temperature.
5. A storage medium, characterized in that, The storage medium stores a computer program adapted for loading by a processor to perform the steps of the method for determining the duration of high temperatures in a nuclear power plant as described in any one of claims 1 to 3.
6. An electronic device, characterized in that, It includes a memory and a processor, wherein the memory stores a computer program, and the processor executes the steps of the method for determining the duration of high temperature in a nuclear power plant as described in any one of claims 1 to 3 by calling the computer program stored in the memory.
Citation Information
Patent Citations
Thermal influence analysis method and system considering thermal discharge influence duration weight of power plant
CN117709135A